51985200 has 60 divisors (see below), whose sum is σ = 166529768. Its totient is φ = 13862400.

The previous prime is 51985163. The next prime is 51985207. The reversal of 51985200 is 258915.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×51985200² = 5404922038080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (51985207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20461 + ... + 22860.

Almost surely, 2^51985200 is an apocalyptic number.

51985200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51985200 is an abundant number, since it is smaller than the sum of its proper divisors (114544568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51985200 is a wasteful number, since it uses less digits than its factorization.

51985200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43342 (or 43331 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 51985200 is about 7210.0762825368. The cubic root of 51985200 is about 373.2157013184.

The spelling of 51985200 in words is "fifty-one million, nine hundred eighty-five thousand, two hundred".